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Finding the Fourth Proportional to 10,017, 13,823.94 and 5,601

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Solution

The fourth proportional to 10,017, 13,823.94 and 5,601 is: 7,729.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017 : 13,823.94 = 5,601 : x
  2. Step 2: Convert to fraction form
    10,017/13,823.94 = 5,601/x
  3. Step 3: Cross multiply
    10,017x = 13,823.94 × 5,601
  4. Step 4: Simplify right side
    10,017x = 77,427,887.94
  5. Step 5: Solve for x
    x = 77,427,887.94/10,017
  6. Step 6: Final answer
    x = 7,729.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.